C. Pérez-Delgado and D. Cheung, "Local Unitary Quantum Cellular Automata",
Phys. Rev. A 76, 032320, 2007. See also arXiv:0709.0006 (quant-ph)
P. Arrighi, R. Fargetton, Z. Wang, Intrinsically universal one-dimensional quantum cellular automata in two flavours, Fundamenta Informaticae Vol.91, No.2, pp.197-230, (2009). See also (quant-ph)
P. Arrighi, J. Grattage, A quantum Game of Life, Proceedings of JAC 2010, Turku, December 2010. TUCS Lecture Notes 13, 31-42, (2010). See also (quant-ph) and (Companion Website)
B. Schumacher and R. Werner, "Reversible quantum cellular automata", quant-ph/0405174
Pablo Arrighi, Vincent Nesme, Reinhard Werner, One-dimensional quantum cellular automata over finite, unbounded configurations. See also (quant-ph)
Pablo Arrighi, Vincent Nesme, Reinhard Werner, N-dimensional quantum cellular automata. See also (quant-ph)
C. Dürr and M. Santha, "A decision procedure for unitary linear quantum cellular automata", quant-ph/9604007 .
C. Dürr, H. LêTanh, M. Santha, "A decision procedure for well-formed linear quantum cellular automata", Rand. Struct. Algorithms 11, 1997: pp. 381–394. See also cs.DS/9906024.
Pablo Arrighi, An algebraic study of unitary one dimensional quantum cellular automata, Proceedings of MFCS 2006, LNCS 4162, (2006), pp122-133. See also quant-ph/0512040
S. Richter and R.F. Werner, "Ergodicity of quantum cellular automata", J. Stat. Phys. 82, 1996: pp. 963–998. See also cond-mat/9504001
P. Arrighi, An overview of quantum cellular automata, arXiv:1904.12956
Terry Farrelly, A review of Quantum Cellular Automata arXiv:1904.13318
D. Meyer, "From quantum cellular automata to quantum lattice gases", Journal of Statistical Physics 85, 1996: pp. 551–574. See also quant-ph/9604003.
D. Meyer, "On the absence of homogeneous scalar unitary cellular automata'", Physics Letters A 223, 1996: pp. 337–340. See also quant-ph/9604011.
P. Arrighi, J. Grattage, A quantum Game of Life, Proceedings of JAC 2010, Turku, December 2010. TUCS Lecture Notes 13, 31-42, (2010). See also (quant-ph) and (Companion Website)